A trail that wraps around a lake is 1 7/8 miles long. Mara completed one lap around the lake. If she ran 4/5 of the distance and walked the rest. How far did she run?

Respuesta :

Answer:

  1 1/2 miles

Step-by-step explanation:

The problem statement tells us Mara ran 4/5 of 1 7/8 miles.

Product with mixed number

The procedure usually recommended for multiplying mixed numbers is to convert them to improper fractions first. Doing that, we find the product to be ...

  [tex]\dfrac{4}{5}\times1\dfrac{7}{8}=\dfrac{4}{5}\times\dfrac{1\times8+7}{8}=\dfrac{4}{5}\times\dfrac{15}{8}\\\\=\dfrac{4\cdot3\cdot5}{5\cdot4\cdot2}=\dfrac{3}{2}=\boxed{1\dfrac{1}{2}}[/tex]

Mara ran 1 1/2 miles.

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